Problem: Nastya likes reading and even spends whole days in a library sometimes. Today she found a chronicle of Byteland in the library, and it stated that there lived shamans long time ago. It is known that at every moment there was exactly one shaman in Byteland, and there were n shamans in total enumerated with integers from 1 to n in the order they lived. Also, each shaman had a magic power which can now be expressed as an integer.

The chronicle includes a list of powers of the n shamans. Also, some shamans can be king-shamans, if they gathered all the power of their predecessors, i.e. their power is exactly the sum of powers of all previous shamans. Nastya is interested in whether there was at least one king-shaman in Byteland.

Unfortunately many of the powers are unreadable in the list, so Nastya is doing the following:

  * Initially she supposes some power for each shaman. 
  * After that she changes the power of some shaman q times (the shamans can differ) and after that wants to check if there is at least one king-shaman in the list. If yes, she wants to know the index of any king-shaman. 



Unfortunately the list is too large and Nastya wants you to help her.

Input

The first line contains two integers n and q (1 ≤ n, q ≤ 2·105).

The second line contains n integers a1, ..., an (0 ≤ ai ≤ 109), where ai is the magic power of the i-th shaman.

After that q lines follow, the i-th of them contains two integers pi and xi (1 ≤ pi ≤ n, 0 ≤ xi ≤ 109) that mean that the new power of the pi-th shaman is xi.

Output

Print q lines, the i-th of them should contain  - 1, if after the i-th change there are no shaman-kings, and otherwise a single integer j, where j is an index of some king-shaman after the i-th change.

If there are multiple king-shamans after each change, print the index of any of them.

Examples

Input

2 1
1 3
1 2


Output

-1


Input

3 4
2 2 3
1 1
1 2
2 4
3 6


Output

3
2
-1
3


Input

10 7
0 3 1 4 6 2 7 8 10 1
2 5
1 3
9 36
4 10
4 9
1 2
1 0


Output

1
-1
9
-1
4
-1
1

Note

In the first example powers of shamans after the first change are equal to (2, 3). The answer equals  - 1, because the sum of powers of shamans before the first shaman is equal to 0, and before the second is equal to 2.

In the second example after the first change the powers are equal to (1, 2, 3). The answer is equal to 3, because the power of the third shaman is equal to 3, and the sum of powers of the first and the second shaman is also 1 + 2 = 3. After the second change the powers become equal to (2, 2, 3), where the answer equals 2. After the third change the powers become equal to (2, 4, 3), where the answer equals  - 1. After the fourth change the powers become equal to (2, 4, 6), where the answer equals 3.

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
using namespace chrono;
struct rmq_sum {
  int n;
  vector<long long int> tree;
  rmq_sum(int n) : n(n), tree(n + 1) {}
  void add(int i, int x) {
    ++i;
    while (i <= n) {
      tree[i] += x;
      i += i & (-i);
    }
  }
  void replace(int i, int x) { add(i, x - query(i, i)); }
  long long int query(int i) {
    long long int ret = 0;
    ++i;
    while (i > 0) {
      ret += tree[i];
      i -= i & (-i);
    }
    return ret;
  }
  long long int query(int i, int j) {
    if (i == 0) return query(j);
    return query(j) - query(i - 1);
  }
};
struct rmq_max {
  int n;
  vector<int> arr, tree;
  rmq_max(int n, vector<int> &arr) : n(n), arr(arr), tree(n << 2) {
    build(1, 0, n - 1);
  }
  inline void update(int i, int x) { update(1, 0, n - 1, i, x); }
  inline int query(int i, int j) { return query(1, 0, n - 1, i, j); }
  int leftmost_greater(int i, int j, long long int S) {
    return leftmost_greater(1, 0, n - 1, i, j, S);
  }

 private:
  void build(int node, int a, int b) {
    if (a > b) return;
    if (a == b)
      tree[node] = arr[a];
    else {
      build(node << 1, a, (a + b) >> 1);
      build((node << 1) | 1, 1 + ((a + b) >> 1), b);
      tree[node] = max(tree[node << 1], tree[(node << 1) | 1]);
    }
  }
  void update(int node, int a, int b, int i, int x) {
    if (a > b or i < a or i > b) return;
    if (a == b)
      tree[node] = x;
    else {
      update(node << 1, a, (a + b) >> 1, i, x);
      update((node << 1) | 1, 1 + ((a + b) >> 1), b, i, x);
      tree[node] = max(tree[node << 1], tree[(node << 1) | 1]);
    }
  }
  int query(int node, int a, int b, int i, int j) {
    if (a > b or j < a or i > b) return -1;
    if (a >= i and b <= j) return tree[node];
    return max(query(node << 1, a, (a + b) >> 1, i, j),
               query((node << 1) | 1, 1 + ((a + b) >> 1), b, i, j));
  }
  int down(int node, int a, int b, long long int S) {
    if (a == b) return a;
    if (tree[node << 1] >= S) return down(node << 1, a, (a + b) >> 1, S);
    return down((node << 1) | 1, 1 + ((a + b) >> 1), b, S);
  }
  int leftmost_greater(int node, int a, int b, int i, int j, long long int S) {
    if (i > j) return -1;
    if (a == i and b == j) {
      if (tree[node] >= S) return down(node, a, b, S);
      return -1;
    }
    int mid = (a + b) >> 1;
    int ret = leftmost_greater(node << 1, a, mid, i, min(j, mid), S);
    if (ret == -1) {
      return leftmost_greater((node << 1) | 1, 1 + mid, b, max(i, mid + 1), j,
                              S);
    }
    return ret;
  }
};
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  time_point<high_resolution_clock> start = high_resolution_clock::now(), end;
  int n, q;
  cin >> n >> q;
  rmq_sum sum_tree(n);
  vector<int> arr(n);
  for (int i = (0); i < (n); i++) {
    cin >> arr[i];
    sum_tree.add(i, arr[i]);
  }
  rmq_max max_tree(n, arr);
  int i, x;
  bool flag;
  long long int sum = 0;
  while (q--) {
    cin >> i >> x;
    --i;
    sum_tree.replace(i, x);
    max_tree.update(i, x);
    arr[i] = x;
    i = 0, sum = arr[0];
    flag = true;
    if (arr[0] == 0) {
      cout << "1\n";
      flag = false;
    }
    while (flag) {
      i = max_tree.leftmost_greater(i + 1, n - 1, sum);
      if (i == -1) break;
      sum = sum_tree.query(0, i - 1);
      if (arr[i] == sum) {
        cout << i + 1 << "\n";
        flag = false;
        break;
      }
      sum += arr[i];
    }
    if (flag) {
      cout << "-1\n";
    }
  }
  end = high_resolution_clock::now();
  duration<double, milli> elapsed_time = end - start;
  cerr << "\nElapsed Time : " << elapsed_time.count() << " ms\n";
}